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Finding the Fourth Proportional to 2,468.04, 3,702.05 and 619.15

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Solution

The fourth proportional to 2,468.04, 3,702.05 and 619.15 is: 928.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,468.04 : 3,702.05 = 619.15 : x
  2. Step 2: Convert to fraction form
    2,468.04/3,702.05 = 619.15/x
  3. Step 3: Cross multiply
    2,468.04x = 3,702.05 × 619.15
  4. Step 4: Simplify right side
    2,468.04x = 2,292,124.26
  5. Step 5: Solve for x
    x = 2,292,124.26/2,468.04
  6. Step 6: Final answer
    x = 928.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.